Simple Harmonic Motion At the equilibrium point x = 0 so, a=0 also. When the stretch is a maximum, a will be a maximum too. E= Umax = kA2 E= Kmax = momax E= Umax = kA? v=0 Umax v= 0 Fmax Fmax x=-A x= 0 x= +A Copyright © 2007 Pearson Prentice Hall, Inc. The velocity at the end points will be zero, and it is a maximum at the equilibrium point.

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Explain the diagram, especially the derivation of the energy formula in each motion of the mass.

Relationship of the velocity, maximum energy with it's kinetic and potential energy.

Simple Harmonic Motion
At the equilibrium point x = 0 so, a= 0 also.
When the stretch is a maximum, a will be a maximum too.
E= Umax = KA?
E = Kmax = m?max
E= Umax = kA2
v= 0
Umax
v = 0
Fmax
max
x= 0
Copyright © 2007 Pearson Prentice Hall, Inc.
x = -A
X = +A
The velocity at the end points will be zero, and
it is a maximum at the equilibrium point.
Transcribed Image Text:Simple Harmonic Motion At the equilibrium point x = 0 so, a= 0 also. When the stretch is a maximum, a will be a maximum too. E= Umax = KA? E = Kmax = m?max E= Umax = kA2 v= 0 Umax v = 0 Fmax max x= 0 Copyright © 2007 Pearson Prentice Hall, Inc. x = -A X = +A The velocity at the end points will be zero, and it is a maximum at the equilibrium point.
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